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DTSTART:20210328T030000
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DTSTAMP:20260409T121458Z
UID:1610712000@ist.ac.at
DTSTART:20210115T130000
DTEND:20210115T150000
DESCRIPTION:Speaker: Antonio Agresti\nhosted by Julian Fischer\nAbstract: C
 ritical spaces for non-linear equations are important due to scaling invar
 iance\, and in particular this plays a central role in fluid dynamics. In 
 this talk we introduce and discuss local/global well-posedness\, and blow-
 up criteria for stochastic parabolic evolution equations in critical space
 s. Our results extend the celebrated theory of Prüss\, Wilke and Simonett
  for deterministic PDEs. Due to the presence of noise it is unclear that a
  stochastic version of the theory is possible\, but as we will show a suit
 able variation of the theory remains valid. We will also explain several f
 eatures which are new in both the deterministic and stochastic framework. 
 In particular\, we discuss a new bootstrap method to prove regularization 
 of solutions to (S)PDEs\, which can also be applied in critical situations
 . Our theory is applicable to a large class of semilinear and quasilinear 
 parabolic problems which includes many of the classical SPDEs. During the 
 talk we give applications to stochastic reaction-diffusion equations and s
 tochastic Navier-Stokes equations with gradient noise.This is a joint work
  with Mark Veraar (TU Delft).
LOCATION:online via Zoom\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Antonio Agresti: Stochastic PDEs in critical spaces 
URL:https://talks-calendar.ista.ac.at/events/3028
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